Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 190-01. Polynomial removal fails for ordered binary matrices
Manuscript map · lines 5835–5844
OpenAI@2026-10-07#rem:oai-p-190-01
Authors: OpenAI. Family 190.
Title: Polynomial removal fails for ordered binary matrices.
Abstract: We construct a fixed $66{}times66$ binary matrix for which ordered matrix removal has no polynomial bound. This disproves the polynomial ordered binary matrix-removal conjecture. Ordered copies preserve the separate row and column orders and match both zeros and ones; removal permits changing entries in either direction.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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